Finite Group Databasebeta

← #13148706

Subgroups — #13148706

Order 1728.

1623 conjugacy classes of subgroups.

The subgroup lattice has 630 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#88677C211yesmaximal, characteristic
2C22×#6199C211yesmaximal, characteristic, complemented
3C2×C4×((C3⋊D3)⋊C3)⋊C2C211yesmaximal, characteristic, complemented
4C22⋊C4×#272C211yesmaximal, characteristic, complemented
5#64090⋊C3C212yesmaximal, complemented
6#11721314C212yesmaximal, complemented
7#11721161C211yesmaximal, characteristic, complemented
8#11721154C212yesmaximal, complemented
9#11721147C211yesmaximal, characteristic, complemented
10C4×#6199C211yesmaximal, characteristic, complemented
11#11721123C212yesmaximal, complemented
12D3×#67⋊C4—32nomaximal
13C23×#272C2211yescharacteristic
14C22×((C3⋊D3)⋊C3)⋊C2C2211yescharacteristic
15C2×C4×#272C2211yescharacteristic
16C2×C4×#272C2211yescharacteristic
17C2×#638⋊C3C2212yes—
18C22×(C3⋊Dic3)⋊C3C2212yescomplemented
19C2×C4×(C3⋊D3)⋊C3C2212yescomplemented
20#88677C418yescomplemented
21C2×#6200C2212yes—
22C2×#6199—24no—
23C2×#6199C2211yescharacteristic
24C2×#6199C2211yescharacteristic
25C2×#6199C2211yescharacteristic
26C2×#6199C2212yescomplemented
27C2×((C3⋊D3)⋊C3)⋊C4C2212yescomplemented
28C4×((C3⋊D3)⋊C3)⋊C2—24no—
29C22⋊C4×H(3,𝔽3)C2211yescharacteristic, complemented
30#88552C2211yescharacteristic, complemented
31#88542C2211yescharacteristic, complemented
32#88542C2211yescharacteristic, complemented
33#3752⋊C3C2212yescomplemented
34#3750⋊C3C2212yescomplemented
35C4×(C3⋊Dic3)⋊C3C2212yescomplemented
36#88450C2212yescomplemented
37#88448C2212yescomplemented
38#88447C2212yescomplemented
39C2×D3×#67—32no—
40C22×D3×Dic3—32no—
41C2×C4×D32—32no—
42#64090D312yescomplemented
43C3×#67⋊C4—32no—
44C3×D3×C22⋊C4—32no—
45C3×D3×C22⋊C4—61no—
46#67⋊Dic3—32no—
47#63952—32no—
48D3×(C2×D3)⋊C4—32no—
49#63902—32no—
50#63881—32no—
51#63880—32no—
52#63879—32no—
53D3×Dic3⋊C4—32no—
54C4×D3×Dic3—32no—
55C23×H(3,𝔽3)C2311yescharacteristic
56C22×#272—22no—
57C22×#272—22no—
58C22×#272C2×C414yescomplemented
59C22×#272C2311yescharacteristic
60C22×#272C2311yescharacteristic
61C22×(C3⋊D3)⋊C3C2312yes—
62C2×((C3⋊D3)⋊C3)⋊C2—22no—
63C2×((C3⋊D3)⋊C3)⋊C2—22no—
64C2×((C3⋊D3)⋊C3)⋊C2C2×C414yescomplemented
65C2×C4×H(3,𝔽3)C2311yescharacteristic
66C2×C4×H(3,𝔽3)C2311yescharacteristic
67C2×#1084C2311yescharacteristic
68C2×#1084C2311yescharacteristic
69C4×#272—22no—
70C4×#272—22no—
71#638⋊C3C2×C418yescomplemented
72C2×(C3⋊Dic3)⋊C3—24no—
73C2×(C3⋊Dic3)⋊C3C2312yes—
74C2×(C3⋊Dic3)⋊C3C2312yes—
75C2×(C3⋊Dic3)⋊C3C2312yes—
76C4×(C3⋊D3)⋊C3—24no—
77#6200C2×C418yescomplemented
78#6199—22no—
79#6199—24no—
80#6199C2×C414yescomplemented
81#6199D414yescomplemented
82((C3⋊D3)⋊C3)⋊C4—24no—
83C4×D3×D4—92no—
84C2×#67⋊C4—91no—
85C23×C3×D3—32no—
86C23×C3×D3—61no—
87C22×D32—32no—
88C2×#638C2×D312yes—
89C22×C3⋊Dic3C2×D312yescomplemented
90C2×C4×C3⋊D3C2×D312yescomplemented
91C2×C3×#67—32no—
92C22×C3×Dic3—32no—
93C2×C3×C4×D3—32no—
94C2×C3×C4×D3—32no—
95C2×C3×C4×D3—32no—
96C2×C3×C4×D3—61no—
97C2×C3×C4×D3—61no—
98D3×#67—316no—
99C2×#626—32no—
100C2×#625—32no—
101C2×#624—32no—
102C2×D3×Dic3—32no—
103C2×D3×Dic3—32no—
104C2×D3×Dic3—32no—
105C2×D3×Dic3—32no—
106C2×D3×Dic3—32no—
107C2×D3×Dic3—32no—
108C2×D3×Dic3—68no—
109C4×D32—68no—
110C32×C22⋊C4—21no—
111C32×C22⋊C4C2×D312yescomplemented
112#3752C2×D312yescomplemented
113#3750C2×D312yescomplemented
114C4×C3⋊Dic3C2×D312yescomplemented
115C3×#217—32no—
116C3×#217—61no—
117C3×(C2×D3)⋊C4—32no—
118C3×(C2×D3)⋊C4—32no—
119C3×(C2×D3)⋊C4—32no—
120C3×(C2×D3)⋊C4—61no—
121C3×(C2×D3)⋊C4—61no—
122C3×Dic3⋊C4—32no—
123C3×C4×Dic3—32no—
124#3724—32no—
125Dic3⋊Dic3—32no—
126#3722—32no—
127(C2×D3)⋊Dic3—32no—
128Dic32—32no—
129Dic32—32no—
130C22×H(3,𝔽3)—21no—
131C22×H(3,𝔽3)—21no—
132C22×H(3,𝔽3)C22×C412yescomplemented
133C22×H(3,𝔽3)C2411yescharacteristic
134C2×#272—21no—
135C2×#272—21no—
136C2×#272—28no—
137C2×#272C22×C412yes—
138C2×#272C22×C412yescomplemented
139C2×#272C2×D412yes—
140C2×#272#4112yes—
141C2×(C3⋊D3)⋊C3—22no—
142C2×(C3⋊D3)⋊C3—22no—
143C2×(C3⋊D3)⋊C3C22×C414yescomplemented
144((C3⋊D3)⋊C3)⋊C2—28no—
145C4×H(3,𝔽3)—21no—
146C4×H(3,𝔽3)—21no—
147#1084—21no—
148#1084—21no—
149(C3⋊Dic3)⋊C3—22no—
150(C3⋊Dic3)⋊C3C22×C414yescomplemented
151(C3⋊Dic3)⋊C3C2×D414yescomplemented
152C22×#67—91no—
153C23×Dic3—91no—
154C2×D3×D4—92no—
155C22×C4×D3—91no—
156C22×C4×D3—92no—
157C22×C4×D3—92no—
158C3×C4×D4—92no—
159C2×C3×C22⋊C4—91no—
160D4×Dic3—92no—
161C4×#67—92no—
162C4×#67—92no—
163C2×(C2×D3)⋊C4—91no—
164C2×Dic3⋊C4—91no—
165C2×C4×Dic3—91no—
166#893—92no—
167D3×C4⋊C4—92no—
168#67⋊C4—32no—
169#67⋊C4—92no—
170#67⋊C4—92no—
171#67⋊C4—92no—
172#67⋊C4—92no—
173#67⋊C4—92no—
174D3×C22⋊C4—32no—
175D3×C22⋊C4—61no—
176D3×C22⋊C4—92no—
177C4×D12—92no—
178C42×D3—92no—
179C23×C32—21no—
180C23×C32C22×D312yes—
181C22×C3⋊D3C22×D312yes—
182C22×C3×D3—32no—
183C22×C3×D3—38no—
184C22×C3×D3—32no—
185C22×C3×D3—32no—
186C22×C3×D3—61no—
187C22×C3×D3—64no—
188C22×C3×D3—61no—
189C22×C3×D3—64no—
190C22×C3×D3—64no—
191C22×C3×D3—122no—
192C22×C3×D3—122no—
193C2×D32—38no—
194C2×D32—64no—
195C2×D32—64no—
196C2×C32×C4—21no—
197C2×C32×C4—21no—
198C2×C32×C4C22×D312yes—
199C2×C32×C4C22×D312yes—
200#638C4×D318yescomplemented
201C2×C3⋊Dic3—24no—
202C2×C3⋊Dic3C22×D312yes—
203C2×C3⋊Dic3C22×D312yes—
204C2×C3⋊Dic3C22×D312yes—
205C4×C3⋊D3—24no—
206C3×#67—38no—
207C2×C3×Dic3—32no—
208C2×C3×Dic3—32no—
209C2×C3×Dic3—32no—
210C2×C3×Dic3—32no—
211C2×C3×Dic3—32no—
212C2×C3×Dic3—61no—
213C2×C3×Dic3—61no—
214C2×C3×Dic3—64no—
215C3×C4×D3—64no—
216C3×C4×D3—64no—
217C3×C4×D3—64no—
218C3×C4×D3—122no—
219C3×C4×D3—122no—
220#626—38no—
221#625—38no—
222#624—64no—
223D3×Dic3—38no—
224D3×Dic3—38no—
225D3×Dic3—64no—
226D3×Dic3—64no—
227D3×Dic3—64no—
228D3×Dic3—64no—
229C2×C4×D4—271noSylow
230C2×H(3,𝔽3)—22no—
231C2×H(3,𝔽3)C23×C411yescharacteristic
232C2×H(3,𝔽3)C22×D411yescharacteristic
233C2×H(3,𝔽3)C2×#4111yescharacteristic
234#272—22no—
235#272C4×D414yescomplemented
236(C3⋊D3)⋊C3—24no—
237C24×C3—91no—
238C23×D3—32no—
239C23×D3—61no—
240C23×D3—91no—
241C23×D3—92no—
242C2×C3×D4—92no—
243C22×C3×C4—92no—
244C22×C3×C4—92no—
245C22×C3×C4—91no—
246C22×C3×C4—91no—
247C2×#67—32no—
248C2×#67—92no—
249C2×#67—92no—
250C2×#67—98no—
251C2×#67—92no—
252C22×Dic3—32no—
253C22×Dic3—92no—
254C22×Dic3—91no—
255C22×Dic3—91no—
256C22×Dic3—92no—
257C22×Dic3—91no—
258C22×Dic3—92no—
259C22×Dic3—184no—
260D3×D4—916no—
261C2×D12—92no—
262C2×C4×D3—32no—
263C2×C4×D3—32no—
264C2×C4×D3—32no—
265C2×C4×D3—61no—
266C2×C4×D3—61no—
267C2×C4×D3—92no—
268C2×C4×D3—92no—
269C2×C4×D3—92no—
270C2×C4×D3—92no—
271C2×C4×D3—92no—
272C2×C4×D3—92no—
273C2×C4×D3—92no—
274C2×C4×D3—92no—
275C2×C4×D3—184no—
276C2×C4×D3—188no—
277C2×C4×D3—188no—
278C3×C4⋊C4—92no—
279C3×C22⋊C4—32no—
280C3×C22⋊C4—61no—
281C3×C22⋊C4—92no—
282C3×C22⋊C4—91no—
283C3×C22⋊C4—91no—
284C3×C22⋊C4—91no—
285C3×C22⋊C4D3211yescharacteristic
286C3×C42—92no—
287#217—32no—
288#217—61no—
289#217—92no—
290(C2×D3)⋊C4—32no—
291(C2×D3)⋊C4—32no—
292(C2×D3)⋊C4—32no—
293(C2×D3)⋊C4—61no—
294(C2×D3)⋊C4—61no—
295(C2×D3)⋊C4—92no—
296(C2×D3)⋊C4—92no—
297(C2×D3)⋊C4—92no—
298C4⋊Dic3—92no—
299Dic3⋊C4—32no—
300Dic3⋊C4—92no—
301Dic3⋊C4—92no—
302Dic3⋊C4—92no—
303C4×Dic3—32no—
304C4×Dic3—92no—
305C4×Dic3—92no—
306C4×Dic3—92no—
307C4×Dic3—92no—
308C22×C32—22no—
309C22×C32—22no—
310C22×C32—21no—
311C22×C32—22no—
312C22×C32—41no—
313C22×C32—41no—
314C22×C32C2×C4×D314yescomplemented
315C22×C32C23×D312yes—
316C2×C3⋊D3—22no—
317C2×C3⋊D3—22no—
318C2×C3⋊D3C2×C4×D314yescomplemented
319C2×C3×D3—34no—
320C2×C3×D3—34no—
321C2×C3×D3—34no—
322C2×C3×D3—34no—
323C2×C3×D3—34no—
324C2×C3×D3—62no—
325C2×C3×D3—62no—
326C2×C3×D3—62no—
327C2×C3×D3—62no—
328C2×C3×D3—616no—
329C2×C3×D3—62no—
330C2×C3×D3—62no—
331C2×C3×D3—62no—
332C2×C3×D3—62no—
333C2×C3×D3—128no—
334C2×C3×D3—121no—
335C2×C3×D3—121no—
336D32—616no—
337C32×C4—22no—
338C32×C4—22no—
339C32×C4—41no—
340C32×C4—41no—
341C3⋊Dic3—22no—
342C3⋊Dic3C2×C4×D314yescomplemented
343C3⋊Dic3D3×D414yescomplemented
344C3×Dic3—34no—
345C3×Dic3—34no—
346C3×Dic3—62no—
347C3×Dic3—62no—
348C3×Dic3—62no—
349C3×Dic3—121no—
350C3×Dic3—121no—
351C22×D4—271no—
352C23×C4—271no—
353C23×C4—271no—
354C4×D4—92no—
355C4×D4—272no—
356C4×D4—272no—
357C4×D4—272no—
358C2×C4⋊C4—271no—
359C2×C22⋊C4—91no—
360C2×C22⋊C4—271no—
361C2×C42—271no—
362H(3,𝔽3)C2×C4×D411yescharacteristic, complemented, Sylow
363C23×C3—32no—
364C23×C3—61no—
365C23×C3—92no—
366C23×C3—91no—
367C23×C3—91no—
368C23×C3—94no—
369C23×C3—182no—
370C23×C3—182no—
371C23×C3C2×D3211yescharacteristic
372C22×D3—32no—
373C22×D3—32no—
374C22×D3—38no—
375C22×D3—32no—
376C22×D3—61no—
377C22×D3—61no—
378C22×D3—64no—
379C22×D3—64no—
380C22×D3—64no—
381C22×D3—92no—
382C22×D3—94no—
383C22×D3—98no—
384C22×D3—122no—
385C22×D3—122no—
386C22×D3—184no—
387C22×D3—184no—
388C22×D3—182no—
389C22×D3—182no—
390C3×D4—98no—
391C2×C3×C4—32no—
392C2×C3×C4—32no—
393C2×C3×C4—61no—
394C2×C3×C4—61no—
395C2×C3×C4—92no—
396C2×C3×C4—92no—
397C2×C3×C4—92no—
398C2×C3×C4—91no—
399C2×C3×C4—91no—
400C2×C3×C4—182no—
401C2×C3×C4—182no—
402C2×C3×C4—184no—
403C2×C3×C4—184no—
404C2×C3×C4C2×D3211yescharacteristic
405C2×C3×C4C2×D3211yescharacteristic
406#67—38no—
407#67—98no—
408#67—98no—
409#67—98no—
410C2×Dic3—32no—
411C2×Dic3—32no—
412C2×Dic3—32no—
413C2×Dic3—32no—
414C2×Dic3—32no—
415C2×Dic3—61no—
416C2×Dic3—61no—
417C2×Dic3—64no—
418C2×Dic3—92no—
419C2×Dic3—92no—
420C2×Dic3—92no—
421C2×Dic3—94no—
422C2×Dic3—94no—
423C2×Dic3—184no—
424C2×Dic3—184no—
425C2×Dic3—182no—
426C2×Dic3—184no—
427D12—98no—
428C4×D3—64no—
429C4×D3—64no—
430C4×D3—64no—
431C4×D3—98no—
432C4×D3—98no—
433C4×D3—122no—
434C4×D3—122no—
435C4×D3—184no—
436C4×D3—184no—
437C4×D3—184no—
438C4×D3—184no—
439C4×D3—184no—
440C4×D3—184no—
441C2×C32—24no—
442C2×C32—21no—
443C2×C32—21no—
444C2×C32—21no—
445C2×C32—42no—
446C2×C32C22×C4×D312yes—
447C2×C32C2×D3×D412yes—
448C2×C32D3×#4112yes—
449C3⋊D3—24no—
450C3×D3—38no—
451C3×D3—64no—
452C3×D3—64no—
453C3×D3—64no—
454C3×D3—122no—
455C24—91no—
456C24—271no—
457C2×D4—92no—
458C2×D4—272no—
459C2×D4—278no—
460C22×C4—92no—
461C22×C4—91no—
462C22×C4—91no—
463C22×C4—92no—
464C22×C4—271no—
465C22×C4—271no—
466C22×C4—271no—
467C22×C4—272no—
468C22×C4—272no—
469C22×C4—544no—
470C22×C4—544no—
471C4⋊C4—92no—
472C4⋊C4—272no—
473C22⋊C4—91no—
474C22⋊C4—91no—
475C22⋊C4—91no—
476C22⋊C4—92no—
477C22⋊C4—272no—
478C22⋊C4((C3⋊D3)⋊C3)⋊C211yescharacteristic, complemented
479C42—92no—
480C42—272no—
481C22×C3—21no—
482C22×C3—21no—
483C22×C3—32no—
484C22×C3—34no—
485C22×C3—62no—
486C22×C3—62no—
487C22×C3—61no—
488C22×C3—62no—
489C22×C3—94no—
490C22×C3—92no—
491C22×C3—92no—
492C22×C3—92no—
493C22×C3—92no—
494C22×C3—121no—
495C22×C3—121no—
496C22×C3—188no—
497C22×C3—182no—
498C22×C3—182no—
499C22×C3—181no—
500C22×C3—181no—
501C22×C3C4×D3212yes—
502C22×C3C22×D3211yescharacteristic
503C2×D3—34no—
504C2×D3—34no—
505C2×D3—34no—
506C2×D3—34no—
507C2×D3—34no—
508C2×D3—62no—
509C2×D3—62no—
510C2×D3—62no—
511C2×D3—62no—
512C2×D3—616no—
513C2×D3—62no—
514C2×D3—62no—
515C2×D3—62no—
516C2×D3—62no—
517C2×D3—94no—
518C2×D3—128no—
519C2×D3—121no—
520C2×D3—121no—
521C2×D3—182no—
522C2×D3—182no—
523C2×D3—1816no—
524C2×D3—188no—
525C3×C4—21no—
526C3×C4—21no—
527C3×C4—62no—
528C3×C4—62no—
529C3×C4—94no—
530C3×C4—94no—
531C3×C4—121no—
532C3×C4—121no—
533C3×C4—182no—
534C3×C4—181no—
535C3×C4—181no—
536Dic3—34no—
537Dic3—34no—
538Dic3—62no—
539Dic3—62no—
540Dic3—62no—
541Dic3—94no—
542Dic3—94no—
543Dic3—121no—
544Dic3—121no—
545Dic3—182no—
546C32—21no—
547C32C4×D3×D412yescomplemented
548C23—91no—
549C23—91no—
550C23—92no—
551C23—94no—
552C23—182no—
553C23—182no—
554C23—274no—
555C23—542no—
556C23—542no—
557C23C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
558D4—98no—
559D4—278no—
560C2×C4—92no—
561C2×C4—92no—
562C2×C4—91no—
563C2×C4—91no—
564C2×C4—92no—
565C2×C4—184no—
566C2×C4—182no—
567C2×C4—182no—
568C2×C4—184no—
569C2×C4—274no—
570C2×C4—274no—
571C2×C4—544no—
572C2×C4—544no—
573C2×C4—542no—
574C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
575C2×C4C2×((C3⋊D3)⋊C3)⋊C211yescharacteristic
576C2×C3—22no—
577C2×C3—32no—
578C2×C3—32no—
579C2×C3—32no—
580C2×C3—64no—
581C2×C3—61no—
582C2×C3—61no—
583C2×C3—61no—
584C2×C3—94no—
585C2×C3—122no—
586C2×C3—184no—
587C2×C3—182no—
588C2×C3C2×C4×D3211yescharacteristic
589C2×C3D32×D411yescharacteristic
590C2×C3#6431211yescharacteristic
591D3—38no—
592D3—64no—
593D3—64no—
594D3—64no—
595D3—122no—
596D3—184no—
597C22—21no—
598C22—21no—
599C22—92no—
600C22—92no—
601C22—92no—
602C22—94no—
603C22—92no—
604C22—188no—
605C22—182no—
606C22—181no—
607C22—181no—
608C22—182no—
609C22—548no—
610C22C4×((C3⋊D3)⋊C3)⋊C212yescomplemented
611C22C22×((C3⋊D3)⋊C3)⋊C211yescharacteristic
612C4—21no—
613C4—21no—
614C4—94no—
615C4—94no—
616C4—181no—
617C4—182no—
618C4—181no—
619C3—32no—
620C3—61no—
621C3#1059425511yescharacteristic
622C2—22no—
623C2—94no—
624C2—182no—
625C2—184no—
626C2C2×C4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
627C2D4×((C3⋊D3)⋊C3)⋊C211yescharacteristic
628C2#1172250511yescharacteristic
subgroupG/H
centerC22C22×((C3⋊D3)⋊C3)⋊C2
commutatorC2×H(3,𝔽3)C23×C4
Frattini, socleC22×C3C22×D32
FittingC22⋊C4×H(3,𝔽3)C22
prime radicalC2×#88677C2
cosocleC22×H(3,𝔽3)C24
hypercenterC22⋊C4((C3⋊D3)⋊C3)⋊C2
hypocenterH(3,𝔽3)C2×C4×D4
LCSG ▷ C2×H(3,𝔽3) ▷ H(3,𝔽3)
UCSC1 ◁ C22 ◁ C22⋊C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. C22×#6199C2semidirect
3. C2×C4×((C3⋊D3)⋊C3)⋊C2C2semidirect
4. C22⋊C4×#272C2semidirect
5. #64090⋊C3C2semidirect
6. #11721314C2semidirect
7. #11721161C2semidirect
8. #11721154C2semidirect
9. #11721147C2semidirect
10. C4×#6199C2semidirect
11. #11721123C2semidirect
18. C22×(C3⋊Dic3)⋊C3C22semidirect
19. C2×C4×(C3⋊D3)⋊C3C22semidirect
20. #88677C4semidirect
26. C2×#6199C22semidirect
27. C2×((C3⋊D3)⋊C3)⋊C4C22semidirect
29. C22⋊C4×H(3,𝔽3)C22semidirect
30. #88552C22semidirect
31. #88542C22semidirect
32. #88542C22semidirect
33. #3752⋊C3C22semidirect
34. #3750⋊C3C22semidirect
35. C4×(C3⋊Dic3)⋊C3C22semidirect
36. #88450C22semidirect
37. #88448C22semidirect
38. #88447C22semidirect
42. #64090D3semidirect
58. C22×#272C2×C4semidirect
64. C2×((C3⋊D3)⋊C3)⋊C2C2×C4semidirect
71. #638⋊C3C2×C4semidirect
77. #6200C2×C4semidirect
80. #6199C2×C4semidirect
81. #6199D4semidirect
89. C22×C3⋊Dic3C2×D3semidirect
90. C2×C4×C3⋊D3C2×D3semidirect
111. C32×C22⋊C4C2×D3semidirect
112. #3752C2×D3semidirect
113. #3750C2×D3semidirect
114. C4×C3⋊Dic3C2×D3semidirect
132. C22×H(3,𝔽3)C22×C4semidirect
138. C2×#272C22×C4semidirect
143. C2×(C3⋊D3)⋊C3C22×C4semidirect
150. (C3⋊Dic3)⋊C3C22×C4semidirect
151. (C3⋊Dic3)⋊C3C2×D4semidirect
200. #638C4×D3semidirect
235. #272C4×D4semidirect
314. C22×C32C2×C4×D3semidirect
318. C2×C3⋊D3C2×C4×D3semidirect
342. C3⋊Dic3C2×C4×D3semidirect
343. C3⋊Dic3D3×D4semidirect
362. H(3,𝔽3)C2×C4×D4semidirect
478. C22⋊C4((C3⋊D3)⋊C3)⋊C2semidirect
547. C32C4×D3×D4semidirect
610. C22C4×((C3⋊D3)⋊C3)⋊C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#886772
C22×#61992
C2×C4×((C3⋊D3)⋊C3)⋊C22
C22⋊C4×#2722
#64090⋊C32
#117213142
#117211612
#117211542
#117211472
C4×#61992
#117211232
D3×#67⋊C43